Ma femme viendra nous rejoindre après avoir couché le bébé.
My wife will come and join us after putting the baby to sleep.
(HINT: Use 'coucher' (to put to bed))
I put:
Ma femme viendra nous rejoindre après être couché le bébé.
I thought coucher takes être as its auxiliary. Does that only apply when its reflexive? Or is there some other problem?